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On the existence of a stable periodic motion of two impacting oscillators. (English) Zbl 1098.70528

Summary: A system that consists of two impacting oscillators has been considered in this paper. A method of analytical determination of the existence of periodic solutions to the equations of motion and a method of investigation of the stability of these solutions have been presented. The results of the computations carried out by means of these methods have been illustrated by a few examples.

MSC:

70K42 Equilibria and periodic trajectories for nonlinear problems in mechanics
70K20 Stability for nonlinear problems in mechanics
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